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Finding the Fourth Proportional to 153,293.89, 229,651.48 and 78,461.46

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Solution

The fourth proportional to 153,293.89, 229,651.48 and 78,461.46 is: 117,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,293.89 : 229,651.48 = 78,461.46 : x
  2. Step 2: Convert to fraction form
    153,293.89/229,651.48 = 78,461.46/x
  3. Step 3: Cross multiply
    153,293.89x = 229,651.48 × 78,461.46
  4. Step 4: Simplify right side
    153,293.89x = 18,018,790,411.96
  5. Step 5: Solve for x
    x = 18,018,790,411.96/153,293.89
  6. Step 6: Final answer
    x = 117,544.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.